When you have 3 choices for each of 6 spins, the number of possible "words" is
3^6 = 729
The number of permutations of 6 things that are 3 groups of 2 is
6!/(2!×2!×2!) = 720/8 = 90
A) The probability of a word containing two of each of the letters is 90/729 = 10/81
The number of permutations of 6 things from two groups of different sizes is
(2 and 4) : 6!/(2!×4!) = 15
(3 and 3) : 6!/(3!×3!) = 20
(4 and 2) : 15
(5 and 1) : 6
(6 and 0) : 1
B) The number of ways there can be at least 2 "a"s and no "b"s is
15 + 20 + 15 + 6 + 1 = 57
The probability of a word containing at least 2 "a"s and no "b"s is 57/729 = 19/243.
_____
These numbers were verified by listing all possibilities and actually counting the ones that met your requirements.
Answer:
See below.
Step-by-step explanation:
13. D
Simply subtract. 85376 - 37793 = 47583.
14. C
[Something] - 32497 = 26348
Add 32497 to both sides:
[Something] - 32497 + 32497 = 26438 + 32497
[Something] = 58845
15. C
Compute each difference:
A: 51455 - 26478 = 24977
B: 49351 - 15274 = 34077
C: 63286 - 37439 = 25847
(D: 46307 - 21550 = 24757)
16. B
Simply subtract:
143864 - 112955 = 30909
17. A
First, find the difference:
85732 - 39864 = 45868
Only 45798 (A) is less than 45868.
(Note that B is equal to, not less than).
18. C
Subtract:
45932 - 29574 = 16358.
19. B
Subtract:
96834 - 31727 = 65107 - 12156 = 52951
20. C
27301 - 12352 - [Something] = 7356
14949 - [Something] = 7356
Add [Something] to each side:
14949 = 7356 + [Something]
Subtract 7356 from each side.
7593 = [Something]
Note: Do you need help with subtraction specifically? These questions can be solved with simply with a calculator, but perhaps that is not the intention here. Anyways, I recommend using Khan Academy to improve your arithmetic skills if necesary.
Since each of the sides of a square must all be the same length, the width and length of the square are both 5. The formula for the area of a square is
area = width * length
So that’s
area = 5 * 5
area = 25
It’s -1 the guy above me is right
Answer:3
Step-by-step explanation:fvfvtbtbt